%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET329-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:40:46 PM UTC 2026
% Result : Unsatisfiable 38.90s 6.30s
% Output : Refutation 39.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 32
% Syntax : Number of formulae : 104 ( 56 unt; 11 def)
% Number of atoms : 269 ( 46 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 331 ( 166 ~; 165 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 17 con; 0-3 aty)
% Number of variables : 170 ( 170 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f11,axiom,
! [X0,X1] : member(unordered_pair(X0,X1),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pairs_in_universal) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product1) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( ~ member(X0,X1)
| ~ member(X2,X3)
| member(ordered_pair(X0,X2),cross_product(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f31,axiom,
! [X0,X1] :
( ~ member(X0,universal_class)
| restrict(X1,singleton(X0),universal_class) = null_class
| member(X0,domain_of(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain2) ).
fof(f32,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| null_class = restrict(X1,singleton(X0),universal_class)
| member(X0,domain_of(X1)) ),
inference(reorient_equations,[],[f31]) ).
fof(f38,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(ordered_pair(X0,X1),X2),X3)
| ~ member(ordered_pair(ordered_pair(X1,X0),X2),cross_product(cross_product(universal_class,universal_class),universal_class))
| member(ordered_pair(ordered_pair(X1,X0),X2),flip(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',flip3) ).
fof(f39,axiom,
! [X0] : domain_of(flip(cross_product(X0,universal_class))) = inverse(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f40,axiom,
! [X0] : domain_of(inverse(X0)) = range_of(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',range_of) ).
fof(f43,axiom,
! [X0,X1] : range_of(restrict(X0,X1,universal_class)) = image(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',image) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
member(ordered_pair(x,y),xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_image_alternate_defn4_1) ).
fof(f123,negated_conjecture,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_image_alternate_defn4_2) ).
fof(f124,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_image_alternate_defn4_3) ).
fof(f125,negated_conjecture,
~ member(y,image(xr,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_image_alternate_defn4_4) ).
fof(f127,plain,
! [X0] : range_of(X0) = domain_of(domain_of(flip(cross_product(X0,universal_class)))),
inference(definition_unfolding,[],[f40,f39]) ).
fof(f128,plain,
! [X0,X1] : image(X0,X1) = domain_of(domain_of(flip(cross_product(intersection(X0,cross_product(X1,universal_class)),universal_class)))),
inference(definition_unfolding,[],[f43,f127,f28]) ).
fof(f130,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f139,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X0,X2) ),
inference(definition_unfolding,[],[f14,f130]) ).
fof(f140,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f130]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),cross_product(X1,X3))
| ~ member(X2,X3)
| ~ member(X0,X1) ),
inference(definition_unfolding,[],[f16,f130]) ).
fof(f147,plain,
! [X0,X1] :
( null_class = intersection(X1,cross_product(unordered_pair(X0,X0),universal_class))
| ~ member(X0,universal_class)
| member(X0,domain_of(X1)) ),
inference(definition_unfolding,[],[f32,f28,f12]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),cross_product(cross_product(universal_class,universal_class),universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),unordered_pair(X2,X2))),X3)
| member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),unordered_pair(X2,X2))),flip(X3)) ),
inference(definition_unfolding,[],[f38,f130,f130,f130,f130,f130,f130]) ).
fof(f188,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),xr),
inference(definition_unfolding,[],[f122,f130]) ).
fof(f189,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(definition_unfolding,[],[f123,f130]) ).
fof(f190,plain,
~ member(y,domain_of(domain_of(flip(cross_product(intersection(xr,cross_product(z,universal_class)),universal_class))))),
inference(definition_unfolding,[],[f125,f128]) ).
fof(f195,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f196,plain,
unordered_pair(x,x) = sF0,
inference(reorient_equations,[],[f195]) ).
fof(f197,definition,
sF1 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f198,plain,
unordered_pair(y,y) = sF1,
inference(reorient_equations,[],[f197]) ).
fof(f199,definition,
sF2 = unordered_pair(x,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f200,plain,
unordered_pair(x,sF1) = sF2,
inference(reorient_equations,[],[f199]) ).
fof(f201,definition,
sF3 = unordered_pair(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f202,plain,
unordered_pair(sF0,sF2) = sF3,
inference(reorient_equations,[],[f201]) ).
fof(f203,plain,
member(sF3,xr),
inference(definition_folding,[],[f188,f202,f200,f198,f196]) ).
fof(f204,definition,
sF4 = cross_product(universal_class,universal_class),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f205,plain,
cross_product(universal_class,universal_class) = sF4,
inference(reorient_equations,[],[f204]) ).
fof(f206,plain,
member(sF3,sF4),
inference(definition_folding,[],[f189,f205,f202,f200,f198,f196]) ).
fof(f207,definition,
sF5 = cross_product(z,universal_class),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f208,plain,
cross_product(z,universal_class) = sF5,
inference(reorient_equations,[],[f207]) ).
fof(f209,definition,
sF6 = intersection(xr,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f210,plain,
intersection(xr,sF5) = sF6,
inference(reorient_equations,[],[f209]) ).
fof(f211,definition,
sF7 = cross_product(sF6,universal_class),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f212,plain,
cross_product(sF6,universal_class) = sF7,
inference(reorient_equations,[],[f211]) ).
fof(f213,definition,
sF8 = flip(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f214,plain,
flip(sF7) = sF8,
inference(reorient_equations,[],[f213]) ).
fof(f215,definition,
sF9 = domain_of(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f216,plain,
domain_of(sF8) = sF9,
inference(reorient_equations,[],[f215]) ).
fof(f217,definition,
sF10 = domain_of(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f218,plain,
domain_of(sF9) = sF10,
inference(reorient_equations,[],[f217]) ).
fof(f219,plain,
~ member(y,sF10),
inference(definition_folding,[],[f190,f218,f216,f214,f212,f210,f208]) ).
fof(f220,plain,
unordered_pair(x,unordered_pair(y,y)) = sF2,
inference(forward_demodulation,[],[f200,f198]) ).
fof(f221,plain,
sF3 = unordered_pair(unordered_pair(x,x),sF2),
inference(forward_demodulation,[],[f202,f196]) ).
fof(f222,plain,
member(sF3,cross_product(universal_class,universal_class)),
inference(backward_demodulation,[],[f206,f205]) ).
fof(f223,plain,
intersection(xr,cross_product(z,universal_class)) = sF6,
inference(forward_demodulation,[],[f210,f208]) ).
fof(f224,plain,
sF8 = flip(cross_product(sF6,universal_class)),
inference(forward_demodulation,[],[f214,f212]) ).
fof(f225,plain,
unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))) = sF3,
inference(forward_demodulation,[],[f221,f220]) ).
fof(f227,plain,
flip(cross_product(intersection(xr,cross_product(z,universal_class)),universal_class)) = sF8,
inference(forward_demodulation,[],[f224,f223]) ).
fof(f228,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),cross_product(universal_class,universal_class)),
inference(backward_demodulation,[],[f222,f225]) ).
fof(f229,plain,
member(unordered_pair(unordered_pair(x,x),unordered_pair(x,unordered_pair(y,y))),xr),
inference(backward_demodulation,[],[f203,f225]) ).
fof(f230,plain,
member(y,universal_class),
inference(resolution,[],[f228,f140]) ).
fof(f231,plain,
member(x,universal_class),
inference(resolution,[],[f228,f139]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2)))),unordered_pair(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X0,X0))),flip(X3))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1)))),unordered_pair(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),unordered_pair(X0,X0))),X3)
| ~ member(X0,universal_class) ),
inference(resolution,[],[f141,f151]) ).
fof(f263,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f300,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(unordered_pair(X2,X2),universal_class))
| member(X0,null_class)
| ~ member(X0,X1)
| ~ member(X2,universal_class)
| member(X2,domain_of(X1)) ),
inference(superposition,[],[f23,f147]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),null_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f300,f141]) ).
fof(f425,plain,
! [X0,X1] :
( complement(X1) = null_class
| ~ member(X0,null_class)
| ~ member(X0,X1) ),
inference(resolution,[],[f24,f263]) ).
fof(f432,plain,
! [X2,X0,X1] :
( ~ member(X2,null_class)
| ~ member(X0,X1)
| ~ member(X0,null_class)
| ~ member(X2,X1) ),
inference(superposition,[],[f24,f425]) ).
fof(f441,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class)
| ~ member(X0,null_class) ),
inference(factoring,[],[f432]) ).
fof(f447,plain,
! [X0] : ~ member(X0,null_class),
inference(duplicate_literal_removal,[],[f441]) ).
fof(f471,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),X2)
| ~ member(X3,universal_class)
| member(X3,domain_of(X2))
| ~ member(X1,universal_class)
| ~ member(X0,unordered_pair(X3,X3)) ),
inference(resolution,[],[f447,f305]) ).
fof(f481,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(X0,domain_of(flip(X1)))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),cross_product(universal_class,universal_class))
| ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(X2,X2))),X1)
| ~ member(X2,universal_class) ),
inference(resolution,[],[f471,f253]) ).
fof(f492,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(unordered_pair(unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3)))),unordered_pair(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X3,X3))),unordered_pair(X2,X2))),X1)
| member(X0,domain_of(flip(X1)))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),unordered_pair(X0,X0))
| ~ member(unordered_pair(unordered_pair(X3,X3),unordered_pair(X3,unordered_pair(X4,X4))),cross_product(universal_class,universal_class))
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f481]) ).
fof(f511,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X5,X5))),cross_product(universal_class,universal_class))
| ~ member(X3,universal_class)
| ~ member(unordered_pair(unordered_pair(X4,X4),unordered_pair(X4,unordered_pair(X5,X5))),unordered_pair(X0,X0))
| member(X0,domain_of(flip(cross_product(X1,X2))))
| ~ member(X0,universal_class)
| ~ member(X3,X2)
| ~ member(unordered_pair(unordered_pair(X5,X5),unordered_pair(X5,unordered_pair(X4,X4))),X1) ),
inference(resolution,[],[f492,f141]) ).
fof(f531,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),unordered_pair(X3,X3))
| ~ member(X0,universal_class)
| member(X3,domain_of(flip(cross_product(X4,X5))))
| ~ member(X3,universal_class)
| ~ member(X0,X5)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X4)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(resolution,[],[f511,f141]) ).
fof(f541,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_of(flip(cross_product(X3,X4))))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class) ),
inference(resolution,[],[f531,f10]) ).
fof(f548,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_of(flip(cross_product(X3,X4))))
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),universal_class)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(duplicate_literal_removal,[],[f541]) ).
fof(f551,plain,
! [X2,X3,X0,X1,X4] :
( member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),domain_of(flip(cross_product(X3,X4))))
| ~ member(X0,universal_class)
| ~ member(X0,X4)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),X3)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class) ),
inference(forward_subsumption_resolution,[],[f548,f11]) ).
fof(f559,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(sF8))
| ~ member(X2,universal_class)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),intersection(xr,cross_product(z,universal_class)))
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(superposition,[],[f551,f227]) ).
fof(f560,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),domain_of(sF8))
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),intersection(xr,cross_product(z,universal_class)))
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f563,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),intersection(xr,cross_product(z,universal_class)))
| ~ member(X2,universal_class)
| member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF9)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_demodulation,[],[f560,f216]) ).
fof(f872,plain,
! [X2,X0,X1] :
( ~ member(X0,universal_class)
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF9)
| ~ member(X2,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),cross_product(z,universal_class))
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr) ),
inference(resolution,[],[f563,f23]) ).
fof(f876,plain,
! [X2,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),cross_product(z,universal_class))
| member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X2,X2))),sF9)
| ~ member(X2,universal_class)
| ~ member(X0,universal_class)
| ~ member(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,unordered_pair(X1,X1))),xr) ),
inference(forward_subsumption_resolution,[],[f872,f140]) ).
fof(f878,plain,
! [X2,X0,X1] :
( member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),sF9)
| ~ member(X1,universal_class)
| ~ member(X2,universal_class)
| ~ member(unordered_pair(unordered_pair(X1,X1),unordered_pair(X1,unordered_pair(X0,X0))),xr)
| ~ member(X0,universal_class)
| ~ member(X1,z) ),
inference(resolution,[],[f876,f141]) ).
fof(f891,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),xr)
| ~ member(X2,universal_class)
| ~ member(X0,z)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF9))
| ~ member(X0,universal_class)
| ~ member(X2,unordered_pair(X3,X3)) ),
inference(resolution,[],[f878,f471]) ).
fof(f899,plain,
! [X2,X3,X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),xr)
| ~ member(X2,universal_class)
| ~ member(X0,z)
| ~ member(X3,universal_class)
| member(X3,domain_of(sF9))
| ~ member(X2,unordered_pair(X3,X3)) ),
inference(duplicate_literal_removal,[],[f891]) ).
fof(f908,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X2,X2))),xr)
| ~ member(X0,universal_class)
| ~ member(X1,universal_class)
| member(X3,sF10)
| ~ member(X2,universal_class)
| ~ member(X0,z)
| ~ member(X3,universal_class)
| ~ member(X2,unordered_pair(X3,X3)) ),
inference(forward_demodulation,[],[f899,f218]) ).
fof(f912,plain,
! [X0,X1] :
( ~ member(x,universal_class)
| ~ member(X0,universal_class)
| member(X1,sF10)
| ~ member(y,universal_class)
| ~ member(x,z)
| ~ member(X1,universal_class)
| ~ member(y,unordered_pair(X1,X1)) ),
inference(resolution,[],[f908,f229]) ).
fof(f918,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X1,sF10)
| ~ member(y,universal_class)
| ~ member(x,z)
| ~ member(X1,universal_class)
| ~ member(y,unordered_pair(X1,X1)) ),
inference(forward_subsumption_resolution,[],[f912,f231]) ).
fof(f919,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| member(X1,sF10)
| ~ member(x,z)
| ~ member(X1,universal_class)
| ~ member(y,unordered_pair(X1,X1)) ),
inference(forward_subsumption_resolution,[],[f918,f230]) ).
fof(f920,plain,
! [X0,X1] :
( ~ member(y,unordered_pair(X1,X1))
| member(X1,sF10)
| ~ member(X1,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f919,f124]) ).
fof(f922,plain,
! [X0] :
( member(y,sF10)
| ~ member(y,universal_class)
| ~ member(X0,universal_class)
| ~ member(y,universal_class) ),
inference(resolution,[],[f920,f10]) ).
fof(f925,plain,
! [X0] :
( member(y,sF10)
| ~ member(y,universal_class)
| ~ member(X0,universal_class) ),
inference(duplicate_literal_removal,[],[f922]) ).
fof(f927,plain,
! [X0] :
( ~ member(y,universal_class)
| ~ member(X0,universal_class) ),
inference(forward_subsumption_resolution,[],[f925,f219]) ).
fof(f929,plain,
! [X0] : ~ member(X0,universal_class),
inference(forward_subsumption_resolution,[],[f927,f230]) ).
fof(f951,plain,
$false,
inference(resolution,[],[f929,f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET329-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 01:25:40 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.57/2.40 % (1943051)Input is clausal, will run a generic CNF schedule.
% 10.57/2.40 % (1943059)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4082217807:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.57/2.40 % (1943058)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4262131544:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.57/2.40 % (1943060)lrs+10_1_sil=8000:sp=occurrence:random_seed=3127821904:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.57/2.40 % (1943061)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=892123143:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.57/2.40 % (1943057)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1540802789:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.57/2.40 % (1943063)dis-21_1_sil=8000:lcm=predicate:random_seed=2699398747:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.57/2.40 % (1943062)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1989822048:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.57/2.40 % (1943060)Instruction limit reached!
% 10.57/2.40 % (1943060)------------------------------
% 10.57/2.40 % (1943060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.40 % (1943060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.40 % (1943060)CaDiCaL version: 2.1.3
% 10.57/2.40 % (1943060)Termination reason: Instruction limit
% 10.57/2.40 % (1943060)Termination phase: Saturation
% 10.57/2.40 % (1943060)Time elapsed: 0.059 s
% 10.57/2.40 % (1943060)Peak memory usage: 89 MB
% 10.57/2.40 % (1943060)Instructions burned: 108 (million)
% 10.57/2.40 % (1943063)Instruction limit reached!
% 10.57/2.40 % (1943063)------------------------------
% 10.57/2.40 % (1943063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.40 % (1943063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.40 % (1943063)CaDiCaL version: 2.1.3
% 10.57/2.40 % (1943063)Termination reason: Instruction limit
% 10.57/2.40 % (1943063)Termination phase: Saturation
% 10.57/2.40 % (1943063)Time elapsed: 0.064 s
% 10.57/2.40 % (1943063)Peak memory usage: 89 MB
% 10.57/2.40 % (1943063)Instructions burned: 118 (million)
% 10.57/2.40 % (1943061)Instruction limit reached!
% 10.57/2.40 % (1943061)------------------------------
% 10.57/2.40 % (1943061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.40 % (1943061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.40 % (1943061)CaDiCaL version: 2.1.3
% 10.57/2.40 % (1943061)Termination reason: Instruction limit
% 10.57/2.40 % (1943061)Termination phase: Saturation
% 10.57/2.40 % (1943061)Time elapsed: 0.067 s
% 10.57/2.40 % (1943061)Peak memory usage: 89 MB
% 10.57/2.40 % (1943061)Instructions burned: 115 (million)
% 10.57/2.40 % (1943062)Instruction limit reached!
% 10.57/2.40 % (1943062)------------------------------
% 10.57/2.40 % (1943062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.57/2.40 % (1943062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.57/2.40 % (1943062)CaDiCaL version: 2.1.3
% 10.57/2.40 % (1943062)Termination reason: Instruction limit
% 10.57/2.40 % (1943062)Termination phase: Saturation
% 10.57/2.40 % (1943062)Time elapsed: 0.128 s
% 10.57/2.40 % (1943062)Peak memory usage: 90 MB
% 10.57/2.40 % (1943062)Instructions burned: 180 (million)
% 10.57/2.40 % (1943073)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3155288717:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.57/2.40 % (1943072)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3099887001:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 10.57/2.40 % (1943071)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3770288197:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.57/2.40 % (1943074)lrs+10_64_to=lpo:sil=8000:random_seed=2705079097:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 10.57/2.40 % (1943072)Instruction limit reached!
% 16.94/3.26 % (1943072)------------------------------
% 16.94/3.26 % (1943072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.94/3.26 % (1943072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.26 % (1943072)CaDiCaL version: 2.1.3
% 16.94/3.26 % (1943072)Termination reason: Instruction limit
% 16.94/3.26 % (1943072)Termination phase: Saturation
% 16.94/3.26 % (1943072)Time elapsed: 0.091 s
% 16.94/3.26 % (1943072)Peak memory usage: 90 MB
% 16.94/3.26 % (1943072)Instructions burned: 191 (million)
% 16.94/3.26 % (1943071)Instruction limit reached!
% 16.94/3.26 % (1943071)------------------------------
% 16.94/3.26 % (1943071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.94/3.26 % (1943071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.26 % (1943071)CaDiCaL version: 2.1.3
% 16.94/3.26 % (1943071)Termination reason: Instruction limit
% 16.94/3.26 % (1943071)Termination phase: Saturation
% 16.94/3.26 % (1943071)Time elapsed: 0.095 s
% 16.94/3.26 % (1943071)Peak memory usage: 89 MB
% 16.94/3.26 % (1943071)Instructions burned: 143 (million)
% 16.94/3.26 % (1943074)Instruction limit reached!
% 16.94/3.26 % (1943074)------------------------------
% 16.94/3.26 % (1943074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.94/3.26 % (1943074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.26 % (1943074)CaDiCaL version: 2.1.3
% 16.94/3.26 % (1943074)Termination reason: Instruction limit
% 16.94/3.26 % (1943074)Termination phase: Saturation
% 16.94/3.26 % (1943074)Time elapsed: 0.043 s
% 16.94/3.26 % (1943074)Peak memory usage: 89 MB
% 16.94/3.26 % (1943074)Instructions burned: 128 (million)
% 16.94/3.26 % (1943073)Instruction limit reached!
% 16.94/3.26 % (1943073)------------------------------
% 16.94/3.26 % (1943073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.94/3.26 % (1943073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.26 % (1943073)CaDiCaL version: 2.1.3
% 16.94/3.26 % (1943073)Termination reason: Instruction limit
% 16.94/3.26 % (1943073)Termination phase: Saturation
% 16.94/3.26 % (1943073)Time elapsed: 0.116 s
% 16.94/3.26 % (1943073)Peak memory usage: 89 MB
% 16.94/3.26 % (1943073)Instructions burned: 220 (million)
% 16.94/3.26 % (1943081)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3513290776:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 16.94/3.26 % (1943080)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2530988420:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 16.94/3.26 % (1943079)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3551885750:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 16.94/3.26 % (1943082)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3185557272:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 16.94/3.26 % (1943082)Instruction limit reached!
% 16.94/3.26 % (1943082)------------------------------
% 16.94/3.26 % (1943082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.94/3.26 % (1943082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.26 % (1943082)CaDiCaL version: 2.1.3
% 16.94/3.26 % (1943082)Termination reason: Instruction limit
% 16.94/3.26 % (1943082)Termination phase: Saturation
% 16.94/3.26 % (1943082)Time elapsed: 0.051 s
% 16.94/3.26 % (1943082)Peak memory usage: 90 MB
% 16.94/3.26 % (1943082)Instructions burned: 107 (million)
% 16.94/3.26 % (1943080)Instruction limit reached!
% 16.94/3.26 % (1943080)------------------------------
% 16.94/3.26 % (1943080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.94/3.26 % (1943080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.26 % (1943080)CaDiCaL version: 2.1.3
% 16.94/3.26 % (1943080)Termination reason: Instruction limit
% 16.94/3.26 % (1943080)Termination phase: Saturation
% 16.94/3.26 % (1943080)Time elapsed: 0.107 s
% 16.94/3.26 % (1943080)Peak memory usage: 91 MB
% 16.94/3.26 % (1943080)Instructions burned: 157 (million)
% 16.94/3.26 % (1943079)Instruction limit reached!
% 16.94/3.26 % (1943079)------------------------------
% 16.94/3.26 % (1943079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.94/3.26 % (1943079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.94/3.26 % (1943079)CaDiCaL version: 2.1.3
% 31.10/5.28 % (1943079)Termination reason: Instruction limit
% 31.10/5.28 % (1943079)Termination phase: Saturation
% 31.10/5.28 % (1943079)Time elapsed: 0.122 s
% 31.10/5.28 % (1943079)Peak memory usage: 90 MB
% 31.10/5.28 % (1943079)Instructions burned: 194 (million)
% 31.10/5.28 % (1943087)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3834316980:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 31.10/5.28 % (1943088)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2342797941:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 31.10/5.28 % (1943089)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=18693174:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 31.10/5.28 % (1943087)Instruction limit reached!
% 31.10/5.28 % (1943087)------------------------------
% 31.10/5.28 % (1943087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.10/5.28 % (1943087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.10/5.28 % (1943087)CaDiCaL version: 2.1.3
% 31.10/5.28 % (1943087)Termination reason: Instruction limit
% 31.10/5.28 % (1943087)Termination phase: Saturation
% 31.10/5.28 % (1943087)Time elapsed: 0.075 s
% 31.10/5.28 % (1943087)Peak memory usage: 89 MB
% 31.10/5.28 % (1943087)Instructions burned: 108 (million)
% 31.10/5.28 % (1943088)Instruction limit reached!
% 31.10/5.28 % (1943088)------------------------------
% 31.10/5.28 % (1943088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.10/5.28 % (1943088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.10/5.28 % (1943088)CaDiCaL version: 2.1.3
% 31.10/5.28 % (1943088)Termination reason: Instruction limit
% 31.10/5.28 % (1943088)Termination phase: Saturation
% 31.10/5.28 % (1943088)Time elapsed: 0.166 s
% 31.10/5.28 % (1943088)Peak memory usage: 90 MB
% 31.10/5.28 % (1943088)Instructions burned: 243 (million)
% 31.10/5.28 % (1943093)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3939327109:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 31.10/5.28 % (1943093)Instruction limit reached!
% 31.10/5.28 % (1943093)------------------------------
% 31.10/5.28 % (1943093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.10/5.28 % (1943093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.10/5.28 % (1943093)CaDiCaL version: 2.1.3
% 31.10/5.28 % (1943093)Termination reason: Instruction limit
% 31.10/5.28 % (1943093)Termination phase: Saturation
% 31.10/5.28 % (1943093)Time elapsed: 0.052 s
% 31.10/5.28 % (1943093)Peak memory usage: 88 MB
% 31.10/5.28 % (1943093)Instructions burned: 136 (million)
% 31.10/5.28 % (1943094)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3872443186:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 31.10/5.28 % (1943096)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1298273886:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 31.10/5.28 % (1943096)Instruction limit reached!
% 31.10/5.28 % (1943096)------------------------------
% 31.10/5.28 % (1943096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.10/5.28 % (1943096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.10/5.28 % (1943096)CaDiCaL version: 2.1.3
% 31.10/5.28 % (1943096)Termination reason: Instruction limit
% 31.10/5.28 % (1943096)Termination phase: Saturation
% 31.10/5.28 % (1943096)Time elapsed: 0.105 s
% 31.10/5.28 % (1943096)Peak memory usage: 89 MB
% 31.10/5.28 % (1943096)Instructions burned: 191 (million)
% 31.10/5.28 % (1943094)Instruction limit reached!
% 31.10/5.28 % (1943094)------------------------------
% 31.10/5.28 % (1943094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.10/5.28 % (1943094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.10/5.28 % (1943094)CaDiCaL version: 2.1.3
% 31.10/5.28 % (1943094)Termination reason: Instruction limit
% 31.10/5.28 % (1943094)Termination phase: Saturation
% 31.10/5.28 % (1943094)Time elapsed: 0.265 s
% 31.10/5.28 % (1943094)Peak memory usage: 94 MB
% 31.10/5.28 % (1943094)Instructions burned: 500 (million)
% 31.10/5.28 % (1943081)Instruction limit reached!
% 31.10/5.28 % (1943081)------------------------------
% 31.10/5.28 % (1943081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.10/5.28 % (1943081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/6.30 % (1943081)CaDiCaL version: 2.1.3
% 38.15/6.30 % (1943081)Termination reason: Instruction limit
% 38.15/6.30 % (1943081)Termination phase: Saturation
% 38.15/6.30 % (1943081)Time elapsed: 0.926 s
% 38.15/6.30 % (1943081)Peak memory usage: 148 MB
% 38.15/6.30 % (1943081)Instructions burned: 3398 (million)
% 38.15/6.30 % (1943099)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1273353046:i=264:kws=precedence:fsr=off_2985 on theBenchmark for (2985ds/264Mi)
% 38.15/6.30 % (1943100)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2795639730:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 38.15/6.30 % (1943101)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2777259849:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 38.15/6.30 % (1943100)Instruction limit reached!
% 38.15/6.30 % (1943100)------------------------------
% 38.15/6.30 % (1943100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.15/6.30 % (1943100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/6.30 % (1943100)CaDiCaL version: 2.1.3
% 38.15/6.30 % (1943100)Termination reason: Instruction limit
% 38.15/6.30 % (1943100)Termination phase: Saturation
% 38.15/6.30 % (1943100)Time elapsed: 0.092 s
% 38.15/6.30 % (1943100)Peak memory usage: 89 MB
% 38.15/6.30 % (1943100)Instructions burned: 157 (million)
% 38.15/6.30 % (1943099)Instruction limit reached!
% 38.15/6.30 % (1943099)------------------------------
% 38.15/6.30 % (1943099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.15/6.30 % (1943099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/6.30 % (1943099)CaDiCaL version: 2.1.3
% 38.15/6.30 % (1943099)Termination reason: Instruction limit
% 38.15/6.30 % (1943099)Termination phase: Saturation
% 38.15/6.30 % (1943099)Time elapsed: 0.171 s
% 38.15/6.30 % (1943099)Peak memory usage: 91 MB
% 38.15/6.30 % (1943099)Instructions burned: 264 (million)
% 38.15/6.30 % (1943105)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3802611962:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 38.15/6.30 % (1943106)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3234750916:i=180:bd=preordered:av=off_2982 on theBenchmark for (2982ds/180Mi)
% 38.15/6.30 % (1943106)Instruction limit reached!
% 38.15/6.30 % (1943106)------------------------------
% 38.15/6.30 % (1943106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.15/6.30 % (1943106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/6.30 % (1943106)CaDiCaL version: 2.1.3
% 38.15/6.30 % (1943106)Termination reason: Instruction limit
% 38.15/6.30 % (1943106)Termination phase: Saturation
% 38.15/6.30 % (1943106)Time elapsed: 0.091 s
% 38.15/6.30 % (1943106)Peak memory usage: 90 MB
% 38.15/6.30 % (1943106)Instructions burned: 180 (million)
% 38.15/6.30 % (1943105)Instruction limit reached!
% 38.15/6.30 % (1943105)------------------------------
% 38.15/6.30 % (1943105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.15/6.30 % (1943105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.15/6.30 % (1943105)CaDiCaL version: 2.1.3
% 38.15/6.30 % (1943105)Termination reason: Instruction limit
% 38.90/6.30 % (1943105)Termination phase: Saturation
% 38.90/6.30 % (1943105)Time elapsed: 0.188 s
% 38.90/6.30 % (1943105)Peak memory usage: 87 MB
% 38.90/6.30 % (1943105)Instructions burned: 537 (million)
% 38.90/6.30 % (1943109)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3931205377:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2980 on theBenchmark for (2980ds/10307Mi)
% 38.90/6.30 % (1943110)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2080946401:i=412:gtgl=4:gtg=exists_all_2979 on theBenchmark for (2979ds/412Mi)
% 38.90/6.30 % (1943110)Instruction limit reached!
% 38.90/6.30 % (1943110)------------------------------
% 38.90/6.30 % (1943110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.30 % (1943110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.30 % (1943110)CaDiCaL version: 2.1.3
% 38.90/6.30 % (1943110)Termination reason: Instruction limit
% 38.90/6.30 % (1943110)Termination phase: Saturation
% 38.90/6.30 % (1943110)Time elapsed: 0.183 s
% 38.90/6.30 % (1943110)Peak memory usage: 90 MB
% 38.90/6.30 % (1943110)Instructions burned: 415 (million)
% 38.90/6.30 % (1943113)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1783048507:s2pl=no:i=8478:s2at=4:nm=6_2975 on theBenchmark for (2975ds/8478Mi)
% 38.90/6.30 % (1943101)Instruction limit reached!
% 38.90/6.30 % (1943101)------------------------------
% 38.90/6.30 % (1943101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.30 % (1943101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.30 % (1943101)CaDiCaL version: 2.1.3
% 38.90/6.30 % (1943101)Termination reason: Instruction limit
% 38.90/6.30 % (1943101)Termination phase: Saturation
% 38.90/6.30 % (1943101)Time elapsed: 1.026 s
% 38.90/6.30 % (1943101)Peak memory usage: 150 MB
% 38.90/6.30 % (1943101)Instructions burned: 3260 (million)
% 38.90/6.30 % (1943115)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=4003367727:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2973 on theBenchmark for (2973ds/303Mi)
% 38.90/6.30 % (1943115)Instruction limit reached!
% 38.90/6.30 % (1943115)------------------------------
% 38.90/6.30 % (1943115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.30 % (1943115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.30 % (1943115)CaDiCaL version: 2.1.3
% 38.90/6.30 % (1943115)Termination reason: Instruction limit
% 38.90/6.30 % (1943115)Termination phase: Saturation
% 38.90/6.30 % (1943115)Time elapsed: 0.073 s
% 38.90/6.30 % (1943115)Peak memory usage: 91 MB
% 38.90/6.30 % (1943115)Instructions burned: 306 (million)
% 38.90/6.30 % (1943117)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3534407815:st=4:i=720:sd=3:fsr=off:ss=axioms_2971 on theBenchmark for (2971ds/720Mi)
% 38.90/6.30 % (1943117)Instruction limit reached!
% 38.90/6.30 % (1943117)------------------------------
% 38.90/6.30 % (1943117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.30 % (1943117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.30 % (1943117)CaDiCaL version: 2.1.3
% 38.90/6.30 % (1943117)Termination reason: Instruction limit
% 38.90/6.30 % (1943117)Termination phase: Saturation
% 38.90/6.30 % (1943117)Time elapsed: 0.207 s
% 38.90/6.30 % (1943117)Peak memory usage: 98 MB
% 38.90/6.30 % (1943117)Instructions burned: 722 (million)
% 38.90/6.30 % (1943119)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2847770531:i=598:bs=on:bd=preordered:av=off:ss=axioms_2967 on theBenchmark for (2967ds/598Mi)
% 38.90/6.30 % (1943119)Instruction limit reached!
% 38.90/6.30 % (1943119)------------------------------
% 38.90/6.30 % (1943119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.30 % (1943119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.30 % (1943119)CaDiCaL version: 2.1.3
% 38.90/6.30 % (1943119)Termination reason: Instruction limit
% 38.90/6.30 % (1943119)Termination phase: Saturation
% 38.90/6.30 % (1943119)Time elapsed: 0.160 s
% 38.90/6.30 % (1943119)Peak memory usage: 94 MB
% 38.90/6.30 % (1943119)Instructions burned: 601 (million)
% 38.90/6.30 % (1943121)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=872271934:i=2989:sd=3:ss=axioms:sgt=60_2964 on theBenchmark for (2964ds/2989Mi)
% 38.90/6.30 % (1943089)Instruction limit reached!
% 38.90/6.30 % (1943089)------------------------------
% 38.90/6.30 % (1943089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.30 % (1943089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.30 % (1943089)CaDiCaL version: 2.1.3
% 38.90/6.30 % (1943089)Termination reason: Instruction limit
% 38.90/6.30 % (1943089)Termination phase: Saturation
% 38.90/6.30 % (1943089)Time elapsed: 3.208 s
% 38.90/6.30 % (1943089)Peak memory usage: 155 MB
% 38.90/6.30 % (1943089)Instructions burned: 5208 (million)
% 38.90/6.30 % (1943123)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=2188937187:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2958 on theBenchmark for (2958ds/1997Mi)
% 38.90/6.30 % (1943121)Instruction limit reached!
% 38.90/6.30 % (1943121)------------------------------
% 38.90/6.30 % (1943121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.30 % (1943121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.30 % (1943121)CaDiCaL version: 2.1.3
% 38.90/6.30 % (1943121)Termination reason: Instruction limit
% 38.90/6.30 % (1943121)Termination phase: Saturation
% 38.90/6.30 % (1943121)Time elapsed: 0.790 s
% 38.90/6.30 % (1943121)Peak memory usage: 134 MB
% 38.90/6.30 % (1943121)Instructions burned: 2992 (million)
% 38.90/6.30 % (1943125)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=3625710662:i=2088:bd=preordered:av=off_2955 on theBenchmark for (2955ds/2088Mi)
% 38.90/6.30 % (1943125)First to succeed.
% 38.90/6.30 % (1943125)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1943051"
% 38.90/6.30 % (1943123)Instruction limit reached!
% 38.90/6.30 % (1943123)------------------------------
% 38.90/6.30 % (1943123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.30 % (1943123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.30 % (1943123)CaDiCaL version: 2.1.3
% 38.90/6.30 % (1943123)Termination reason: Instruction limit
% 38.90/6.30 % (1943123)Termination phase: Saturation
% 38.90/6.30 % (1943123)Time elapsed: 0.987 s
% 38.90/6.30 % (1943123)Peak memory usage: 137 MB
% 38.90/6.30 % (1943123)Instructions burned: 2000 (million)
% 38.90/6.30 % (1943127)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=1981824670:i=1098:nicw=on_2947 on theBenchmark for (2947ds/1098Mi)
% 38.90/6.30 % (1943125)Refutation found. Thanks to Tanya!
% 38.90/6.30 % SZS status Unsatisfiable for theBenchmark
% 38.90/6.30 % SZS output start Proof for theBenchmark
% See solution above
% 39.00/6.49 % (1943125)------------------------------
% 39.00/6.49 % (1943125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.00/6.49 % (1943125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.00/6.49 % (1943125)CaDiCaL version: 2.1.3
% 39.00/6.49 % (1943125)Termination reason: Refutation
% 39.00/6.49 % (1943125)Time elapsed: 0.600 s
% 39.00/6.49 % (1943125)Peak memory usage: 132 MB
% 39.00/6.49 % (1943125)Instructions burned: 1283 (million)
% 39.00/6.49 % (1943125)------------------------------
% 39.00/6.49 % (1943125)------------------------------
% 39.00/6.49 % (1943051)Success in time 5.438 s
% 39.00/6.49 % Vampire exiting
%------------------------------------------------------------------------------